xenharmonic (microtonal wiki)

Omnitetrachordal MODMOS scale
7L+11s
18 tones (7+4+7)

sixix?; 2 forms; best for L/s>2

P = 5.968201208
Q1 = 11.2459420535 (4/3 = 3L+3.5s)
Q2 = 0.6904603624 (4/3 = 3L+4.5s)
(Since Q2<1, it does not represent an actual possible tuning; but since it is close to 1, it indicates that low values of L/s are likely to be less than ideal.)

L = 66.67 to 171.43 cents (135.70 cents @ P, 150.41 cents @ Q1)
s = 0.00 to 66.67 cents (22.74 cents @ P, 13.37 cents @ Q1)

9/8 = L+3s (171.43 to 266.67 cents)
4/3 = 3L+4s (466.67 to 514.29 cents)
MOS generator = 2L+3s (333.33 to 342.86 cents)

notable EDOs: 25, 32, 39, 46, 53

LsLssLsLssLsLssLss (MOS, not OTC)
||     | |    ||
LLsssLsLLsssLsssLs (OTC MODMOS, form 1) - gc 4,4,3,2; 5o

LsLssLsLssLsLssLss (MOS, not OTC)
  | |     ||  ||
LsssLLsLsssLLsLsss (OTC MODMOS, form 2) - gc 4,4,3,2; 5o

LLsssLsLLsssLsssLs (form 1)
|  |   |  |  | |
LsssLLsLsssLLsLsss (form 2)

all modes, form 1:

		`LLsssLs LLsssLs ssLs`
	`LsssLsL Lsss LsssLsL`
	`sssLsLL sssL sssLsLL`
	`ssLsLLs ssLs ssLsLLs`
	`sLsLLss sLss sLsLLss`
	`LsLLsss Lsss LsLLsss`
	`sLLsssL sssL sLLsssL`
	`LLsssLs ssLs LLsssLs`
`Lsss LsssLsL LsssLsL`
`sssL sssLsLL sssLsLL`
`ssLs ssLsLLs ssLsLLs`
`sLss sLsLLss sLsLLss`
`Lsss LsLLsss LsLLsss`		`LsssLsL LsssLsL Lsss`
`sssL sLLsssL sLLsssL`		`sssLsLL sssLsLL sssL`
`ssLs LLsssLs LLsssLs`		`ssLsLLs ssLsLLs ssLs`
		`sLsLLss sLsLLss sLss`
		`LsLLsss LsLLsss Lsss`
		`sLLsssL sLLsssL sssL`

all modes, form 2:

`Lsss LLsLsss LLsLsss`		`LsssLLs LsssLLs Lsss`
`sssL LsLsssL LsLsssL`		`sssLLsL sssLLsL sssL`
		`ssLLsLs ssLLsLs ssLs`
		`sLLsLss sLLsLss sLss`
		`LLsLsss LLsLsss Lsss`
		`LsLsssL LsLsssL sssL`
	`sLsssLL sLss sLsssLL`
	`LsssLLs Lsss LsssLLs`
	`sssLLsL sssL sssLLsL`
	`ssLLsLs ssLs ssLLsLs`
	`sLLsLss sLss sLLsLss`
	`LLsLsss Lsss LLsLsss`
	`LsLsssL sssL LsLsssL`
`sLss sLsssLL sLsssLL`
`Lsss LsssLLs LsssLLs`
`sssL sssLLsL sssLLsL`
`ssLs ssLLsLs ssLLsLs`
`sLss sLLsLss sLLsLss`		`sLsssLL sLsssLL sLss`

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Theory

OTC 7L 11s

See also